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Algebra
Advanced Factorization
Excel in math and science
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The polynomial \[9-4x^2-20xy-25y^2\] can be factorized as \((3+ax+by)(3+cx+dy),\) where \(a,\) \(b,\) \(c\) and \(d\) are real numbers. What is the value of \(abcd\)?
Excel in math and science
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Our wiki is made for math and science
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by Brilliant Staff
What is the value of \(a+b+c\) if \[\begin{align} & x^2+8y^2-6xy-2yz+zx+4x-16y+4z \\ &= (x-ay+b)(x-cy+z)? \end{align}\]
Excel in math and science
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If \(a\), \(b\) and \(c\) are real numbers and \[(x^2+2x)^2-79(x^2+2x)-80=(x+a)^2(x+b)(x+c)\] is an identity in \(x\), what is the value of \(a+b+c\)?
Excel in math and science
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It's hard to learn from lectures and videos
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Our wiki is made for math and science
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What is the value of \(a+b+c\) if \[\begin{align} & (x^2+3x)^2+10x^2+30x-56 \\ &= (x-1)(x+a)(x^2+bx+c)? \end{align} \]
Excel in math and science
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It's hard to learn from lectures and videos
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Our wiki is made for math and science
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What is the value of \(a+b+c\) if \[\begin{align} & x^2+5xy+4y^2+5x+23y-6 \\ &= (x+ay-b)(x+y+c)? \end{align} \]
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
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by Brilliant Staff